Summary: Radical Functions

Key Concepts

The inverse of a quadratic function is a square root function.
If [latex]{f}^{-1}[/latex] is the inverse of a function [latex]f[/latex], then [latex]f[/latex] is the inverse of the function [latex]{f}^{-1}[/latex].
While it is not possible to find an inverse of most polynomial functions, some basic polynomials are invertible.
To find the inverse of certain functions, we must restrict the function to a domain on which it will be one-to-one.
When finding the inverse of a radical function, we need a restriction on the domain of the answer.
Inverse and radical and functions can be used to solve application problems.